SOBECKI ALEKS ACCESS 360 OLA MATH OUR WR
4th Edition
ISBN: 9781260389739
Author: sobecki
Publisher: MCG
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(14 points) Let S = {(x, y, z) | z = e−(x²+y²), x² + y² ≤ 1}. The surface is the graph of
ze(+2) sitting over the unit disk.
=
(a) (4 points) What is the boundary OS? Explain briefly.
(b) (4 points) Let F(x, y, z) = (e³+2 - 2y, xe³±² + y, e²+y). Calculate the curl V × F.
(6 points) Let S be the surface z = 1 − x² - y², x² + y² ≤1. The boundary OS of S
is the unit circle x² + y² = 1. Let F(x, y, z) = (x², y², z²). Use the Stokes' Theorem to
calculate the line integral
Hint: First calculate V x F.
Jos F
F.ds.
Q5. Manager of car dealership is trying to see how number of sale associates can affect number of final sales
in his dealership. He collects the following information:
Number of cars
Number of working
sale associates per day
sold in one day
2
2
3
5
3
3
4
1
3
1
2
4
5
Calculate the correlation coefficient for this data set using the equation given on slide#77? Comment on the
association of the two variables.
ΣΥ) - Σ) × Σ(Υ)
(X)
E(Y)
N
2
(Σ(x²) - 2x²) × (Σ(12) - ²)
N
N
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